BRST cohomology ring in 2D gravity coupled to minimal models

Details BRST cohomology ring in 2D gravity coupled to minimal models BRST cohomology ring in 2D gravity coupled to minimal models

1992-07-23

arxiv.org/abs/hep-th/9207078v1

Int. J. Mod. Phys. A9 (1994) 39

Physics

High Energy Physics

High Energy Physics - Theory

19 pages IC/92/150

Scientific paper

The ring structure of Lian-Zuckerman states for $(q,p)$ minimal models coupled to gravity is shown to be ${\cal R}={\cal R}_0\otimes {\bf C} [w,w^{-1}]$ where ${\cal R}_0$ is the ring of ghost number zero operators generated by two elements and $w$ is an operator of ghost number $-1$. Some examples are discussed in detail. For these models the currents are also discussed and their algebra is shown to contain the Virasoro algebra.

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